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Finding the Fourth Proportional to 114,203.49, 157,646.16 and 77,418.15

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Solution

The fourth proportional to 114,203.49, 157,646.16 and 77,418.15 is: 106,867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,203.49 : 157,646.16 = 77,418.15 : x
  2. Step 2: Convert to fraction form
    114,203.49/157,646.16 = 77,418.15/x
  3. Step 3: Cross multiply
    114,203.49x = 157,646.16 × 77,418.15
  4. Step 4: Simplify right side
    114,203.49x = 12,204,674,061.80
  5. Step 5: Solve for x
    x = 12,204,674,061.80/114,203.49
  6. Step 6: Final answer
    x = 106,867.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.